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Label Polynomial Discriminant Galois group Class group Regulator
8.0.275653125.1 $x^{8} - 2 x^{7} + 7 x^{6} - 11 x^{5} + 19 x^{4} - 20 x^{3} + 20 x^{2} - 10 x + 5$ $3^{6}\cdot 5^{5}\cdot 11^{2}$ $A_4^2:C_4$ (as 8T46) trivial $10.871765428$
8.4.402753125.1 $x^{8} - x^{7} + x^{5} - 4 x^{4} + 5 x^{3} + 6 x^{2} - 2 x - 1$ $5^{5}\cdot 359^{2}$ $A_4^2:C_4$ (as 8T46) trivial $21.9879713253$
8.4.583200000.1 $x^{8} - 2 x^{7} + 2 x^{6} - 6 x^{4} + 12 x^{3} + 7 x^{2} - 2 x - 1$ $2^{8}\cdot 3^{6}\cdot 5^{5}$ $A_4^2:C_4$ (as 8T46) trivial $23.985889349$
8.4.635628125.1 $x^{8} - 5 x^{6} - x^{5} + 6 x^{4} + 5 x^{3} - 6 x^{2} + 2 x - 1$ $5^{5}\cdot 11^{2}\cdot 41^{2}$ $A_4^2:C_4$ (as 8T46) trivial $22.9121496398$
8.4.1018878125.1 $x^{8} - 2 x^{7} + 3 x^{5} - 9 x^{4} - 5 x^{3} + 14 x^{2} + 4 x - 1$ $5^{5}\cdot 571^{2}$ $A_4^2:C_4$ (as 8T46) trivial $38.3114701178$
8.4.1479200000.1 $x^{8} - x^{6} - 10 x^{5} + x^{4} + 19 x^{2} - 10 x + 1$ $2^{8}\cdot 5^{5}\cdot 43^{2}$ $A_4^2:C_4$ (as 8T46) trivial $47.8891829444$
8.4.1544403125.1 $x^{8} - x^{7} - 3 x^{6} + x^{5} + x^{4} + 5 x + 5$ $5^{5}\cdot 19^{2}\cdot 37^{2}$ $A_4^2:C_4$ (as 8T46) trivial $42.2590088685$
8.4.1644167168.1 $x^{8} - 8 x^{3} - 8 x^{2} + 1$ $2^{25}\cdot 7^{2}$ $A_4^2:C_4$ (as 8T46) trivial $71.5321173773$
8.4.1692800000.1 $x^{8} - 2 x^{7} + x^{6} - x^{4} - 4 x^{3} - 10 x^{2} + 4$ $2^{10}\cdot 5^{5}\cdot 23^{2}$ $A_4^2:C_4$ (as 8T46) trivial $58.0705836963$
8.4.1767725973.1 $x^{8} - x^{7} + 4 x^{6} - 4 x^{5} + 2 x^{4} - 3 x^{3} - 18 x^{2} + 27 x - 9$ $3^{2}\cdot 13^{5}\cdot 23^{2}$ $A_4^2:C_4$ (as 8T46) trivial $49.6314064767$
8.4.1805000000.1 $x^{8} - 3 x^{7} - 2 x^{6} + 14 x^{5} - 15 x^{4} - 6 x^{3} + 18 x^{2} - 13 x + 1$ $2^{6}\cdot 5^{7}\cdot 19^{2}$ $A_4^2:C_4$ (as 8T46) trivial $50.5821710601$
8.4.1960200000.1 $x^{8} - x^{7} - 2 x^{6} - 11 x^{4} + 16 x^{3} + 18 x^{2} - 9 x - 11$ $2^{6}\cdot 3^{4}\cdot 5^{5}\cdot 11^{2}$ $A_4^2:C_4$ (as 8T46) trivial $52.9971319185$
8.4.2015028125.1 $x^{8} - x^{7} + 5 x^{5} - 16 x^{4} + 17 x^{3} - 17 x^{2} + 6 x + 4$ $5^{5}\cdot 11^{2}\cdot 73^{2}$ $A_4^2:C_4$ (as 8T46) trivial $63.8260749538$
8.4.2189278125.1 $x^{8} - 4 x^{7} + 7 x^{6} - 5 x^{5} - 4 x^{4} + 10 x^{3} - 23 x^{2} + 26 x + 1$ $3^{6}\cdot 5^{5}\cdot 31^{2}$ $A_4^2:C_4$ (as 8T46) trivial $49.5479807037$
8.0.2496135168.1 $x^{8} + 11 x^{4} - 12 x^{3} + 14 x^{2} - 12 x + 14$ $2^{19}\cdot 3^{2}\cdot 23^{2}$ $A_4^2:C_4$ (as 8T46) trivial $77.4090887854$
8.4.2604903125.1 $x^{8} - 3 x^{7} + 6 x^{6} - 4 x^{5} - 14 x^{4} + 30 x^{3} - 51 x^{2} + 35 x - 5$ $5^{5}\cdot 11^{2}\cdot 83^{2}$ $A_4^2:C_4$ (as 8T46) trivial $65.4147616136$
8.4.2645000000.1 $x^{8} - 2 x^{7} + 3 x^{6} + x^{5} - 10 x^{4} + 21 x^{3} - 17 x^{2} + 3 x + 1$ $2^{6}\cdot 5^{7}\cdot 23^{2}$ $A_4^2:C_4$ (as 8T46) trivial $68.56021043$
8.4.2731953125.1 $x^{8} - 3 x^{7} + 3 x^{6} + 4 x^{5} - 20 x^{4} + 14 x^{3} - 2 x^{2} - 3 x + 1$ $5^{7}\cdot 11^{2}\cdot 17^{2}$ $A_4^2:C_4$ (as 8T46) trivial $49.461869771$
8.4.2767128125.1 $x^{8} - 7 x^{5} - 9 x^{4} - 5 x^{3} + x^{2} + 14 x + 4$ $5^{5}\cdot 941^{2}$ $A_4^2:C_4$ (as 8T46) trivial $71.2988905775$
8.4.2784800000.1 $x^{8} - 2 x^{5} - 4 x^{4} + 10 x^{3} + x^{2} - 6 x - 1$ $2^{8}\cdot 5^{5}\cdot 59^{2}$ $A_4^2:C_4$ (as 8T46) trivial $51.9354424435$
8.4.2790703125.1 $x^{8} - 3 x^{7} - 2 x^{6} + 14 x^{5} - 15 x^{4} - x^{3} + 13 x^{2} - 3 x + 1$ $3^{6}\cdot 5^{7}\cdot 7^{2}$ $A_4^2:C_4$ (as 8T46) trivial $55.6162254124$
8.4.2793930752.1 $x^{8} - 4 x^{6} + x^{4} - 4 x^{3} + 2 x^{2} + 4 x + 2$ $2^{19}\cdot 73^{2}$ $A_4^2:C_4$ (as 8T46) trivial $134.304197463$
8.4.2976800000.1 $x^{8} - x^{6} - 16 x^{4} - 30 x^{3} - 10 x^{2} + 10 x + 5$ $2^{8}\cdot 5^{5}\cdot 61^{2}$ $A_4^2:C_4$ (as 8T46) trivial $54.1236485527$
8.0.3025800000.1 $x^{8} - 4 x^{7} + 9 x^{6} - 10 x^{5} + 14 x^{4} - 18 x^{3} + 15 x^{2} + 9$ $2^{6}\cdot 3^{2}\cdot 5^{5}\cdot 41^{2}$ $A_4^2:C_4$ (as 8T46) trivial $38.6309293498311$
8.4.3075200000.1 $x^{8} - 2 x^{7} - x^{6} + 12 x^{5} - 11 x^{4} - 8 x^{3} + 12 x^{2} - 4$ $2^{10}\cdot 5^{5}\cdot 31^{2}$ $A_4^2:C_4$ (as 8T46) trivial $76.1779457732$
8.4.3230793728.1 $x^{8} - 2 x^{7} + 5 x^{6} - 14 x^{5} + 7 x^{4} + 12 x^{3} - 10 x^{2} + 4 x - 2$ $2^{17}\cdot 157^{2}$ $A_4^2:C_4$ (as 8T46) trivial $114.530323282$
8.4.3465028125.1 $x^{8} - 3 x^{7} - 5 x^{6} + 20 x^{5} - 6 x^{4} - 34 x^{3} + 32 x^{2} + 27 x - 31$ $3^{8}\cdot 5^{5}\cdot 13^{2}$ $A_4^2:C_4$ (as 8T46) trivial $65.2238005141$
8.4.4032800000.1 $x^{8} - 4 x^{7} + 5 x^{6} - 6 x^{4} - 2 x^{3} - 7 x^{2} - 6 x - 1$ $2^{8}\cdot 5^{5}\cdot 71^{2}$ $A_4^2:C_4$ (as 8T46) trivial $87.8820456281$
8.4.4032800000.2 $x^{8} - 4 x^{7} + 7 x^{6} + 4 x^{5} - 19 x^{4} + 10 x^{3} + 15 x^{2} - 10 x - 5$ $2^{8}\cdot 5^{5}\cdot 71^{2}$ $A_4^2:C_4$ (as 8T46) trivial $67.9836491681$
8.4.4032800000.3 $x^{8} - 2 x^{7} - 3 x^{6} + 4 x^{5} - x^{4} + 10 x^{3} - 5 x^{2} - 5$ $2^{8}\cdot 5^{5}\cdot 71^{2}$ $A_4^2:C_4$ (as 8T46) trivial $80.2751934497$
8.4.4197753125.1 $x^{8} - 3 x^{7} - 2 x^{6} + 11 x^{5} - 4 x^{4} - 20 x^{3} + 10 x^{2} + 17 x - 1$ $5^{5}\cdot 19^{2}\cdot 61^{2}$ $A_4^2:C_4$ (as 8T46) trivial $69.9575787497$
8.4.4682022912.2 $x^{8} - 2 x^{7} - 7 x^{6} + 10 x^{5} + 7 x^{4} - 4 x^{3} - 2 x^{2} + 4 x + 2$ $2^{17}\cdot 3^{6}\cdot 7^{2}$ $A_4^2:C_4$ (as 8T46) trivial $154.512434318$
8.4.4743200000.1 $x^{8} - 2 x^{7} - 2 x^{6} + 2 x^{5} + 16 x^{4} - 17 x^{2} + 8 x - 1$ $2^{8}\cdot 5^{5}\cdot 7^{2}\cdot 11^{2}$ $A_4^2:C_4$ (as 8T46) trivial $69.7647971211$
8.4.5248800000.1 $x^{8} - 2 x^{7} - 7 x^{6} + 20 x^{5} - 19 x^{4} + 10 x^{3} - 7 x^{2} + 2 x + 1$ $2^{8}\cdot 3^{8}\cdot 5^{5}$ $A_4^2:C_4$ (as 8T46) trivial $84.1345901564$
8.4.6336800000.1 $x^{8} - 2 x^{7} + x^{6} - 10 x^{5} + 15 x^{4} + 20 x^{3} - 45 x^{2} + 25$ $2^{8}\cdot 5^{5}\cdot 89^{2}$ $A_4^2:C_4$ (as 8T46) trivial $105.286778324$
8.4.6993800000.1 $x^{8} - x^{7} - 7 x^{6} + 15 x^{5} + 4 x^{4} - 39 x^{3} + 43 x^{2} - 14 x - 1$ $2^{6}\cdot 5^{5}\cdot 11^{2}\cdot 17^{2}$ $A_4^2:C_4$ (as 8T46) trivial $101.698684887$
8.4.7517503125.1 $x^{8} - 3 x^{6} - 7 x^{5} + 4 x^{4} + 13 x^{3} + 4 x^{2} - 8 x + 1$ $3^{2}\cdot 5^{5}\cdot 11^{2}\cdot 47^{2}$ $A_4^2:C_4$ (as 8T46) trivial $85.3132886544$
8.4.7699131648.1 $x^{8} - 11 x^{6} - 10 x^{5} + 23 x^{4} + 42 x^{3} + 21 x^{2} - 6 x - 9$ $2^{8}\cdot 3^{4}\cdot 13^{5}$ $A_4^2:C_4$ (as 8T46) trivial $194.790966706$
8.4.8323596288.1 $x^{8} - 2 x^{6} - 12 x^{5} - 31 x^{4} + 12 x^{3} + 20 x^{2} - 2$ $2^{21}\cdot 3^{4}\cdot 7^{2}$ $A_4^2:C_4$ (as 8T46) trivial $308.39429101$
8.4.8394753125.1 $x^{8} - 3 x^{7} + 15 x^{5} - 26 x^{4} + 11 x^{3} + 12 x^{2} - 8 x - 1$ $5^{5}\cdot 11^{2}\cdot 149^{2}$ $A_4^2:C_4$ (as 8T46) trivial $95.5028435254$
8.4.8621628125.1 $x^{8} - 2 x^{7} + 6 x^{5} - 5 x^{4} + 9 x^{3} - 23 x^{2} - 10 x - 1$ $5^{5}\cdot 11^{2}\cdot 151^{2}$ $A_4^2:C_4$ (as 8T46) trivial $117.769007309$
8.4.9148503125.1 $x^{8} - 3 x^{7} + 5 x^{6} - 11 x^{5} + 25 x^{4} - 14 x^{3} - 23 x^{2} + 10 x - 1$ $5^{5}\cdot 29^{2}\cdot 59^{2}$ $A_4^2:C_4$ (as 8T46) $[2]$ $71.297609808$
8.4.9331200000.1 $x^{8} - 4 x^{7} + 10 x^{6} - 12 x^{5} + 9 x^{4} - 20 x^{2} + 20 x - 5$ $2^{12}\cdot 3^{6}\cdot 5^{5}$ $A_4^2:C_4$ (as 8T46) trivial $164.06599953$
8.4.9680000000.1 $x^{8} - 5 x^{6} - 10 x^{5} + 20 x^{4} + 40 x^{3} - 75 x^{2} + 30 x - 5$ $2^{10}\cdot 5^{7}\cdot 11^{2}$ $A_4^2:C_4$ (as 8T46) trivial $154.06508051$
8.4.9768665088.1 $x^{8} - 2 x^{7} + 7 x^{6} - 14 x^{5} + 12 x^{4} - 22 x^{3} + 25 x^{2} - 10 x + 1$ $2^{17}\cdot 3^{2}\cdot 7^{2}\cdot 13^{2}$ $A_4^2:C_4$ (as 8T46) trivial $225.462857352$
8.4.9779253125.1 $x^{8} - x^{7} - 4 x^{6} + 4 x^{5} - 6 x^{4} - 9 x^{3} + 8 x^{2} - 5 x + 1$ $5^{5}\cdot 29^{2}\cdot 61^{2}$ $A_4^2:C_4$ (as 8T46) trivial $99.4838265637$
8.0.9984540672.1 $x^{8} - 4 x^{7} + 2 x^{6} + 4 x^{5} + 11 x^{4} - 24 x^{3} + 18$ $2^{21}\cdot 3^{2}\cdot 23^{2}$ $A_4^2:C_4$ (as 8T46) trivial $154.344215893$
8.0.9984540672.2 $x^{8} + 6 x^{6} - 4 x^{5} + 15 x^{4} - 20 x^{3} + 32 x^{2} - 40 x + 46$ $2^{21}\cdot 3^{2}\cdot 23^{2}$ $A_4^2:C_4$ (as 8T46) trivial $190.707356611$
8.4.10764800000.1 $x^{8} - 4 x^{7} + 6 x^{6} - 4 x^{5} - 6 x^{4} + 4 x^{3} + 8 x^{2} - 4$ $2^{12}\cdot 5^{5}\cdot 29^{2}$ $A_4^2:C_4$ (as 8T46) trivial $143.088649162$
8.4.10764800000.2 $x^{8} - 4 x^{7} + 2 x^{6} + 6 x^{5} - 9 x^{4} - 10 x^{3} - 8 x^{2} - 6 x - 1$ $2^{12}\cdot 5^{5}\cdot 29^{2}$ $A_4^2:C_4$ (as 8T46) trivial $134.40575762$
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